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Performance analysis of the leaky bucket scheme with queue length dependent arrival rates
최두일,이상한 대한수학회 2006 대한수학회보 Vol.43 No.3
In this paper, we analyze a leaky bucket (LB) schemewith queue length dependent arrival rates. In other words, if thequeue length exceeds an appropriate threshold value on buer, thearrivals need to be controlled. In ATM networks, if the congestionoccurs, the input tracs must be controlled (reduced) for conges-tion resolution. By the bursty and correlated properties of tracs,the arrivals are assumed to follow a Markov-modulated Poisson pro-cess (MMPP). We derive the loss probability and the waiting timedistribution for arbitrary cell. The analysis is done by using theembedded Markov chain and supplementary variable method. Wealso present some numerical examples to show the eects of ourproposed LB scheme.
Analysis of queueing model with priority scheduling by supplementary variable method
최두일 한국전산응용수학회 2013 Journal of applied mathematics & informatics Vol.31 No.1
We analyze queueing model with priority scheduling by supplementaryvariable method. Customers are classified into two types (type-1 and type-2 ) according to their characteristics. Customers of eachtype arrive by independent Poisson processes, and all customers regardlessof type have same general service time. The service order of each typeis determined by the queue length of type-1 buffer. If the queue lengthof type-1 customer exceeds a threshold L, the service priority is given tothe type-1 customer. Otherwise, the service priority is given to type-2customer. Method of supplementary variable by remaining service timegives us information for queue length of two buffers. That is, we derive thedifferential difference equations for our queueing system. We obtain jointprobability generating function for two queue lengths and the remainingservice time. Also, the mean queue length of each buffer is derived.
시스템 내 고객 수에 따라 서비스율과 도착율을 조절하는 M/G/1/K 대기행렬의 분석
최두일,임대은,Choi, Doo-Il,Lim, Dae-Eun 한국시뮬레이션학회 2015 한국시뮬레이션학회 논문지 Vol.24 No.3
대기행렬 시스템에는 고객들의 대기시간이 지나치게 길어지는 것을 막기 위해 다양한 정책들이 적용되는데, 본 연구에서는 고객숫자에 따른 제어 정책을 갖는 유한용량 M/G/1/K 대기행렬을 분석한다. 고객의 숫자에 따라 서버의 서비스율과 고객의 도착율을 조절하는 정책이다. 두 개의 한계점(thresholds) $L_1$과 $L_2$($${\geq_-}$$L1)를 설정하고 시스템 내 고객의 숫자가 $L_1$보다 작을 때는 시스템은 보통(또는 상대적으로 느린)의 서비스율(service rate)과 보통의 도착율(arrival rate)을 갖는다. 고객의 숫자가 증가하여 $L_1$이상이고 $L_2$보다 작으면 도착율은 그대로 이지만 서비스율을 증가시켜 빠르게 서비스한다. 이후 고객의 숫자가 더욱 증가하여 $L_2$ 이상이면 고객의 도착율도 작은 값으로 바꾸어 고객을 덜 입장시킨다. 위 정책을 갖는 M/G/1/K 대기행렬을 내재점 마코프 체인과 준-마코프 과정을 이용하여 분석하고 수치예제를 제시한다. We analyze an M/G/1/K queueing system with queue-length dependent service and arrival rates. There are a single server and a buffer with finite capacity K including a customer in service. The customers are served by a first-come-first-service basis. We put two thresholds $L_1$ and $L_2$($${\geq_-}L_1$$ ) on the buffer. If the queue length at the service initiation epoch is less than the threshold $L_1$, the service time of customers follows $S_1$ with a mean of ${\mu}_1$ and the arrival of customers follows a Poisson process with a rate of ${\lambda}_1$. When the queue length at the service initiation epoch is equal to or greater than $L_1$ and less than $L_2$, the service time is changed to $S_2$ with a mean of $${\mu}_2{\geq_-}{\mu}_1$$. The arrival rate is still ${\lambda}_1$. Finally, if the queue length at the service initiation epoch is greater than $L_2$, the arrival rate of customers are also changed to a value of $${\lambda}_2({\leq_-}{\lambda}_1)$$ and the mean of the service times is ${\mu}_2$. By using the embedded Markov chain method, we derive queue length distribution at departure epochs. We also obtain the queue length distribution at an arbitrary time by the supplementary variable method. Finally, performance measures such as loss probability and mean waiting time are presented.
최두일,윤태성 대한의용생체공학회 1987 의공학회지 Vol.8 No.2
In this study, basilar membrane motions and neural tuning responses are analysed with I-dimensional equations for cochlear fluid mechanics and an active cochlear model. The results are as follows. (1) The differences between basilar membrane motions in an active cochlear model and in an passive cochlear model are explained. (2) The basilar membrane motion curves and the neur'at tuning curves which are in accordance with physiological measurements ave obtained. (3) It is proved that the active mechanism makes cochlear highly frequency sensitive.
최두일 公州大學校工科大學生産技術硏究所 1994 論文集 Vol.2 No.-
본 연구에서는 신경회로망을 이용한 벡터양자화 기술들을 소개하고 각각을 비교하였다. 인위적인 입력 환경하에서 평균 양자화 자승 오차, 계산 시간 등을 평가하므로써 각 신경 회로망들의 특성을 설명하였다. 또한 고전적인 벡터양자화 기술에 대한 신경회로망을 이용한 벡터양자화 기술의 장점을 조사하였다. In this study, neural vector quantization technics are introduced and compared. Mean square quantization errors, computational times and ect. are evaluated under the artificial input circumstance in order to introduce the characteristics of each neural networks. The advantages of the neural VQ technics over the traditional VQ technics are investigated.